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arXiv · 0810.3036

Faddeev-Merkuriev integral equations for atomic three-body resonances

S Keller·A Marotta·Z Papp
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Abstract

Three-body resonances in atomic systems are calculated as complex-energy solutions of Faddeev-type integral equations. The homogeneous Faddeev-Merkuriev integral equations are solved by approximating the potential terms in a Coulomb-Sturmian basis. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green's operator has been calculated as a contour integral of two-body Coulomb Green's matrices. This approximation casts the integral equation into a matrix equation and the complex energies are located as the complex zeros of the Fredholm determinant. We calculated resonances of the e-Ps system at higher energies and for total angular momentum L=1 with natural and unnatural parity

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S Keller, A Marotta, Z Papp. 2008-10-16. Faddeev-Merkuriev integral equations for atomic three-body resonances. https://doi.org/10.1088/0953-4075/42/4/044003

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